Global invertibility of mappings between Banach spaces and applications to nonlinear equations

Autor: Galewski, Marek, Repovš, Dušan

Publikováno v: Electron. J. Differential Equations Conf. 25 (2018), 87-102

We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generali

Externí odkaz: http://arxiv.org/abs/1809.05312

A note on a global invertibility of mappings on $R^{n}$

Autor: Galewski, Marek

We provide sufficient conditions for a mapping $f:R^{n}\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local invertibility conditions together with the non-smooth critical point theo

Externí odkaz: http://arxiv.org/abs/1503.01809

Global invertibility of mappings between Banach spaces and applications to nonlinear equations

Autor: Galewski, M., Dušan Repovš

Publikováno v: Proceedings of the international conference Two nonlinear days in Urbino 2017, Università degli Studi di Urbino "Carlo Bo", Italy, July 6-7, 2017, Electronic journal of differential equations, pp. 87-102, 2018.
Scopus-Elsevier

We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generali

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26e8607525334732d84cdbb1dc1fe173
https://hdl.handle.net/20.500.12556/RUL-109068